Z language

I say the Z scale (ぜっどきほう), and it is a form specifications description language, and the Z language (ぜっどげんご) is used to model it with the description of the computing system. Z was named after the name by ZF set theory. Z focuses about next.

• The description of the concise specifications of the computer program.
• Formalization of the proof of the behavior of the program to aim at.

Originally Z was developed with Steve Schuman and support of Bertrand Meyer in 1977 by Jean-Raymond Abrial [¹]. The development of Z was continued more in a programming study group of Oxford University. Abrial worked on development in this study group in early 1980.

Z is based on a standard mathematical scale used in axiomatic set theory and a lambda calculation, the first-order predicate logic. Every expression described in Z evades some of paradox of naive set theory by model づけられており, it. Z includes a standardized catalogue. This catalogue is called a mathematical tool kit. This tool kit consists of the mathematical function and predicate which are generally spoken.

Z uses much non-ASCII symbols, but includes the suggestion of the method to express a symbol to use in Z by ASCII or LaTeX with the specifications of Z.

Useful documents include the next document for a person learning Z for the first time.

• The Z Notation: a reference manual (English)

Z was used by IBM CICS project.

Table of contents

Standard

The ISO (International Organization for Standardization) completed standardization work of Z in 2002. The title of these specifications is Information Technology – Z Formal Specification Notation – It is Syntax, Type System and Semantics ISO/IEC 13,568:2,002. I acquire it directly from the ISO and can read it.

13568_2002.zip, 1MB PDF, page 196

Allied item

• Z++
• Object-Z
• Z User Group (ZUG)
• Community Z Tools (CZT) project
• Form technique
• VDM
• B-Method

References

1. ^ Jean-Raymond Abrial, Stephen A. Schuman and Bertrand Meyer A Specification Language, in On the Construction of Programs, Cambridge University Press, eds. R. McNaughten and R.C. McKeag, 1980 (I describe an early version of Z)

Outside link

• The Z Notation: a reference manual
• Jonathan Bowen's The Z notation
• Specification proposals by Ian Toyn
• The purchase (Z language) of ISO formula specifications
• Community Z Tools (CZT) project
• Open source system for software specifications descriptions by ZETA Z
• Mike Spivey's Fuzz Type-Checker for Z
• Using Z: Specification, Refinement, and Proof (including the PDF document)

As for this article, the document of the item in Free On-line Dictionary of Computing based on a re-license agreement after GFDL version 1.3 until November 1, 2008 causes it.

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This article is taken from the Japanese Wikipedia Z language

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